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• W2014052966 abstract "We report the results of numerical investigations of the steady-state (SS) and finite-initial-conditions (FIC) spatial persistence and survival probabilities for $(1+1)$penalty1000-hskip0ptdimensional interfaces with dynamics governed by the nonlinear Kardar-Parisi-Zhang equation and the linear Edwards-Wilkinson (EW) equation with both white (uncorrelated) and colored (spatially correlated) noise. We study the effects of a finite sampling distance on the measured spatial persistence probability and show that both SS and FIC persistence probabilities exhibit simple scaling behavior as a function of the system size and the sampling distance. Analytical expressions for the exponents associated with the power-law decay of SS and FIC spatial persistence probabilities of the EW equation with power-law correlated noise are established and numerically verified." @default.
• W2014052966 created "2016-06-24" @default.
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• W2014052966 date "2004-05-13" @default.
• W2014052966 modified "2023-09-23" @default.
• W2014052966 title "Spatial persistence and survival probabilities for fluctuating interfaces" @default.
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• W2014052966 doi "https://doi.org/10.1103/physreve.69.051603" @default.
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